Quantum Bayes rule

Preprint

25 August 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0008113

Abstract

We state a quantum version of Bayes's rule for statistical inference and give a simple general derivation within the framework of generalized measurements. The rule can be applied to measurements on N copies of a system if the initial state of the N copies is exchangeable. As an illustration, we apply the rule to N qubits. Finally, we show that quantum state estimates derived via the principle of maximum entropy are fundamentally different from those obtained via the quantum Bayes rule.

Keywords

STATISTICAL INFERENCE
QUANTUM BAYES RULE
STATE A QUANTUM
QUANTUM VERSION
SIMPLE GENERAL
ENTROPY
RULE

All Related Versions

Version 1, 2000-08-25, ArXiv
Published version: Physical Review A, 64 (1), 014305.

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